Peyton Manning
IQ: 106 ± 5
🔍 How Did We Calculate This?
Note: Peyton Manning's SAT score is 1030, which we used as the foundation for our IQ estimate.
1️⃣ SAT to IQ Conversion:
We used the SAT score to make an initial IQ estimate, which resulted in an IQ of approximately 106.
2️⃣ Adjusting for SAT Scores and IQ Correlation:
Given that SAT scores and IQ have a correlation of 0.8, we account for the remaining 20% unexplained variance. Assuming this unexplained variance is normally distributed, we calculated a 95% confidence interval around our estimate. The 95% confidence interval is 106 ± (1.96 * 2.5) ≈ 106 ± 5.
3️⃣ Final Result:
Our estimation suggests that Peyton Manning's IQ is approximately 106, with a 95% confidence interval of 101 to 111.